Extending structures for Gel'fand-Dorfman bialgebras

DOI10.1007/s10114-023-1520-4arXiv2202.10674OpenAlexW4386579263MaRDI QIDQ6155095

Jiajia Wen, Yanyong Hong

Publication date: 16 February 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.10674

zbMATH Keywords

Novikov algebraLie conformal algebraextending structures problemGel'fand-Dorfman Bialgebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Vertex operators; vertex operator algebras and related structures (17B69) Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)

Cites Work

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• Extending structures, Galois groups and supersolvable associative algebras
• Extending structures for Lie conformal algebras
• Extending structures. II: The quantum version.
• Extending structures and classifying complements for left-symmetric algebras
• Extending structures. I: The level of groups.
• Structure theory of finite conformal algebras
• Quadratic conformal superalgebras
• Gel'fand-Dorfman bialgebras
• Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations
• Extending structures for Lie algebras
• Gelfand-Dorfman algebras, derived identities, and the Manin product of operads
• The classification of Novikov algebras in low dimensions
• Simplicity of quadratic Lie conformal algebras
• Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra W(a,b)
• Central extensions and conformal derivations of a class of Lie conformal algebras
• Schrödinger-Virasoro Lie conformal algebra

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